English

Comodule Structures, Equivariant Hopf Structures, and Generalized Schubert Polynomials

Representation Theory 2020-10-30 v2 Algebraic Geometry Algebraic Topology Combinatorics

Abstract

In this article, the comodule structure of Chow rings of Flag manifolds CH(G/B)\operatorname{CH}(G/B) is described by Schubert cells. Its equivariant version gives rise to a Hopf structure of the equivariant cohomology of flag manifolds HB(G/B)H^*_B(G/B). We get two identities of generalized Schubert polynomials as explanations of the geometric facts.

Keywords

Cite

@article{arxiv.2010.14780,
  title  = {Comodule Structures, Equivariant Hopf Structures, and Generalized Schubert Polynomials},
  author = {Rui Xiong},
  journal= {arXiv preprint arXiv:2010.14780},
  year   = {2020}
}

Comments

Problem of signs in the previous version are corrected

R2 v1 2026-06-23T19:42:28.365Z